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Finding the Fourth Proportional to 1,797, 2,696.76 and 642.78

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Solution

The fourth proportional to 1,797, 2,696.76 and 642.78 is: 964.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,797 : 2,696.76 = 642.78 : x
  2. Step 2: Convert to fraction form
    1,797/2,696.76 = 642.78/x
  3. Step 3: Cross multiply
    1,797x = 2,696.76 × 642.78
  4. Step 4: Simplify right side
    1,797x = 1,733,423.39
  5. Step 5: Solve for x
    x = 1,733,423.39/1,797
  6. Step 6: Final answer
    x = 964.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.